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7:33 97% UNIVERSITY OF THE WEST INDIES OPEN CAMPUS MATH0900 SEMESTER 2 2024/2025 Tutorial Assignment 1 – GROUP ASSESSMENT ( 52 marks) 26% Course Work + 4% - from Peer Assessment TOTAL 30% 1) a) From the set {-6, 5, 3.4, 8, -²/5, √(-3), √5, 6i, -3.2, 5+4i} i) List the set of ii) List the set of iii) List the set of vi) List the set of b) Calculate Natural Numbers Integers Numbers Rational Numbers Imaginary numbers (4 marks) || i) 5(-3)+(-6)(-4) -7(-2) = ii) -4(-2)-3(6) + 2(-5) = 3(-2) (2)7-3(-5) (4, 4 marks) 2) a) Calculate 13 -13433 x 5/6 = (4 marks) b) Given 2 3(x-2)=2(2x+3)-1 5 Solve for x (4 marks) Same as 3(x-2)/2 = 2(2x+3)/5 - 1 3) a) Calculate the time taken for an investment of $900,000 to gain an interest of $75,600 if the interest rate is 1.2%. (3 marks) b) 4 sandwiches and 2 drinks cost $46.00 also 3 sandwiches and 1 drinks cost $32.00 What is the cost of each item? (4 marks) 4) a) Out of 7 male employees and 5 female employees 4 are randomly selected for a pay increase. How many possible selections are possible? b) How many patters can be made using the following symbols in a line (3 marks) (3 marks) 5) In an AP the 10th Term is twice the 4th Term and the 13th Term is 60. What is the sum of the first twenty terms? (4 marks) 6) In a GP the T4 is 162 and the T7 is 4374. Find sum of the first 10th Term. (4 marks) 7) Universal Set { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, Set A - { 1, 3, 6, 8, 10} and Set B {1, 5, 6, 7, 9} Answer the following questions. (8 marks) a) n(AUB) = b) A-B' = c) (An B') d) A'U B' = 8) At a school with 600 students, 260 indicated that they live with their biological Father, 446 live with their biological Mother. If 72 students are adopted how many live with both parents. (3 mark Note the assignments is out of 52 Marks but will contribute to 26% of your course work (Easy calculations your score out of 52 divided by 2 is your course work score out of 2 +4% will come from your peer assessment. ||| 1 of 1

7:33 97% UNIVERSITY OF THE WEST INDIES OPEN CAMPUS MATH0900 SEMESTER 2 2024/2025 Tutorial Assignment 1 – GROUP ASSESSMENT ( 52 marks) 26% Course Work + 4% - from Peer Assessment TOTAL 30% 1) a) From the set {-6, 5, 3.4, 8, -²/5, √(-3), √5, 6i, -3.2, 5+4i} i) List the set of ii) List the set of iii) List the set of vi) List the set of b) Calculate Natural Numbers Integers Numbers Rational Numbers Imaginary numbers (4 marks) || i) 5(-3)+(-6)(-4) -7(-2) = ii) -4(-2)-3(6) + 2(-5) = 3(-2) (2)7-3(-5) (4, 4 marks) 2) a) Calculate 13 -13433 x 5/6 = (4 marks) b) Given 2 3(x-2)=2(2x+3)-1 5 Solve for x (4 marks) Same as 3(x-2)/2 = 2(2x+3)/5 - 1 3) a) Calculate the time taken for an investment of $900,000 to gain an interest of $75,600 if the interest rate is 1.2%. (3 marks) b) 4 sandwiches and 2 drinks cost $46.00 also 3 sandwiches and 1 drinks cost $32.00 What is the cost of each item? (4 marks) 4) a) Out of 7 male employees and 5 female employees 4 are randomly selected for a pay increase. How many possible selections are possible? b) How many patters can be made using the following symbols in a line (3 marks) (3 marks) 5) In an AP the 10th Term is twice the 4th Term and the 13th Term is 60. What is the sum of the first twenty terms? (4 marks) 6) In a GP the T4 is 162 and the T7 is 4374. Find sum of the first 10th Term. (4 marks) 7) Universal Set { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, Set A - { 1, 3, 6, 8, 10} and Set B {1, 5, 6, 7, 9} Answer the following questions. (8 marks) a) n(AUB) = b) A-B' = c) (An B') d) A'U B' = 8) At a school with 600 students, 260 indicated that they live with their biological Father, 446 live with their biological Mother. If 72 students are adopted how many live with both parents. (3 mark Note the assignments is out of 52 Marks but will contribute to 26% of your course work (Easy calculations your score out of 52 divided by 2 is your course work score out of 2 +4% will come from your peer assessment. ||| 1 of 1

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.4: Fractional Expressions
Problem 38E
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7:33 97% UNIVERSITY OF THE WEST INDIES OPEN CAMPUS MATH0900 SEMESTER 2 2024/2025 Tutorial Assignment 1 – GROUP ASSESSMENT ( 52 marks) 26% Course Work + 4% - from Peer Assessment TOTAL 30% 1) a) From the set {-6, 5, 3.4, 8, -²/5, √(-3), √5, 6i, -3.2, 5+4i} i) List the set of ii) List the set of iii) List the set of vi) List the set of b) Calculate Natural Numbers Integers Numbers Rational Numbers Imaginary numbers (4 marks) || i) 5(-3)+(-6)(-4) -7(-2) = ii) -4(-2)-3(6) + 2(-5) = 3(-2) (2)7-3(-5) (4, 4 marks) 2) a) Calculate 13 -13433 x 5/6 = (4 marks) b) Given 2 3(x-2)=2(2x+3)-1 5 Solve for x (4 marks) Same as 3(x-2)/2 = 2(2x+3)/5 - 1 3) a) Calculate the time taken for an investment of $900,000 to gain an interest of $75,600 if the interest rate is 1.2%. (3 marks) b) 4 sandwiches and 2 drinks cost $46.00 also 3 sandwiches and 1 drinks cost $32.00 What is the cost of each item? (4 marks) 4) a) Out of 7 male employees and 5 female employees 4 are randomly selected for a pay increase. How many possible selections are possible? b) How many patters can be made using the following symbols in a line (3 marks) (3 marks) 5) In an AP the 10th Term is twice the 4th Term and the 13th Term is 60. What is the sum of the first twenty terms? (4 marks) 6) In a GP the T4 is 162 and the T7 is 4374. Find sum of the first 10th Term. (4 marks) 7) Universal Set { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, Set A - { 1, 3, 6, 8, 10} and Set B {1, 5, 6, 7, 9} Answer the following questions. (8 marks) a) n(AUB) = b) A-B' = c) (An B') d) A'U B' = 8) At a school with 600 students, 260 indicated that they live with their biological Father, 446 live with their biological Mother. If 72 students are adopted how many live with both parents. (3 mark Note the assignments is out of 52 Marks but will contribute to 26% of your course work (Easy calculations your score out of 52 divided by 2 is your course work score out of 2 +4% will come from your peer assessment. ||| 1 of 1
Transcribed Image Text:7:33 97% UNIVERSITY OF THE WEST INDIES OPEN CAMPUS MATH0900 SEMESTER 2 2024/2025 Tutorial Assignment 1 – GROUP ASSESSMENT ( 52 marks) 26% Course Work + 4% - from Peer Assessment TOTAL 30% 1) a) From the set {-6, 5, 3.4, 8, -²/5, √(-3), √5, 6i, -3.2, 5+4i} i) List the set of ii) List the set of iii) List the set of vi) List the set of b) Calculate Natural Numbers Integers Numbers Rational Numbers Imaginary numbers (4 marks) || i) 5(-3)+(-6)(-4) -7(-2) = ii) -4(-2)-3(6) + 2(-5) = 3(-2) (2)7-3(-5) (4, 4 marks) 2) a) Calculate 13 -13433 x 5/6 = (4 marks) b) Given 2 3(x-2)=2(2x+3)-1 5 Solve for x (4 marks) Same as 3(x-2)/2 = 2(2x+3)/5 - 1 3) a) Calculate the time taken for an investment of $900,000 to gain an interest of $75,600 if the interest rate is 1.2%. (3 marks) b) 4 sandwiches and 2 drinks cost $46.00 also 3 sandwiches and 1 drinks cost $32.00 What is the cost of each item? (4 marks) 4) a) Out of 7 male employees and 5 female employees 4 are randomly selected for a pay increase. How many possible selections are possible? b) How many patters can be made using the following symbols in a line (3 marks) (3 marks) 5) In an AP the 10th Term is twice the 4th Term and the 13th Term is 60. What is the sum of the first twenty terms? (4 marks) 6) In a GP the T4 is 162 and the T7 is 4374. Find sum of the first 10th Term. (4 marks) 7) Universal Set { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, Set A - { 1, 3, 6, 8, 10} and Set B {1, 5, 6, 7, 9} Answer the following questions. (8 marks) a) n(AUB) = b) A-B' = c) (An B') d) A'U B' = 8) At a school with 600 students, 260 indicated that they live with their biological Father, 446 live with their biological Mother. If 72 students are adopted how many live with both parents. (3 mark Note the assignments is out of 52 Marks but will contribute to 26% of your course work (Easy calculations your score out of 52 divided by 2 is your course work score out of 2 +4% will come from your peer assessment. ||| 1 of 1
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